# Gujarati Mathematical Vocabulary

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Gujarati Mathematical VocabularyGujarati Numbers VocabularyCompiledbyBabu SutharLecturer in GujaratiUniversity of PennsylvaniaSouth Asia Regional Studies820 William Halls36th and SprucePhiladelphia PA 19143USA

2Gujarati NumbersGujarati numerals are of three types: (1) cardinals, (2) ordinals, and (3) fractions. The basicnumber figures are ten and each figure bears a name.(1) Number figures and their 6o3Ëtg6o8ÐAa56o4Ìcog6o9Ñnv6oCardinals1ÉAek13 ÉË ter2Êbe14 ÉÌ cOd3Ë{a815 ÉÍ p&dr4Ìcar16 ÉÎ soX5Ípa&c17 ÉÏ s]ar6Î218 ÉÐ A7ar7Ïsat19 ÉÑ Aog8Is8ÐAa520 ÊÈ vIs9Ñnv21 ÊÉ AekvIs10 ÉÈ ds22 ÊÊ bavIs11 ÉÉ Aigyar23 ÊË tevIs12 ÉÉ bar24 ÊÌ covIs

325 ÊÍ pCcIs52 ÍÊ bavn26 ÊÎ 2vIs53 ÍË tepn27 ÊÏ s]aavIs54 ÍÌ copn28 ÊÐ A¹avIs55 ÍÍ p&cavn29 ÊÑ Aog8{aIs56 ÍÎ 2Ppn30 ËÈ {aIs57 ÍÏ s]aavn31 ËÉ Aek{aIs58 ÍÐ A¹avn32 ËÊ b{aIs59 ÍÑ Aog8sa;533 ËË te{aIs60 ÎÈ sa;534 ËÌ co{aIs61 ÎÉ Aeks535 ËÍ pa&{aIs62 ÎÊ bas536 ËÎ 2{aIs63 ÎË tes537 ËÏ sa6{aIs64 ÎÌ cos538 ËÐ Aa6{aIs65 ÎÍ pa&s539 ËÑ Aog8calIs66 ÎÎ 2as540 ÌÈ calIs67 ÎÏ s6s541 ÌÉ AektalIs68 ÎÐ A6s542 ÌÊ betalIs69 ÎÑ Ag8ois]aer43 ÌË tetalIs70 ÏÈ is]aer44 ÌÌ cu&malIs71 ÏÉ ;kotr45 ÌÍ ipStalIs72 ÏÊ boter46 ÌÎ 2etalIs73 ÏË toter47 ÌÏ su6talIs76 ÏÎ 2oter51 ÍÉ Aekavn77 ÏÏ isTyotr52 ÍÊ bavn78 ÏÐ ;5yotr51 ÍÉ Aekavn79 ÏÑ Ag*yaAe&sI

480 ÐÈ Ae&sI90 ÑÈ nevu&81 ÐÉ AekyasI91 ÑÉ Aeka8u&82 ÐÊ ByasI92 ÑÊ ba8u&83 ÐË TyasI93 ÑË ta8u&84 ÐÌ coyaRsI94 ÑÌ cora8u&85 ÐÍ p&casI95 ÑÍ p&ca8u&86 ÐÎ 2yasI96 ÑÎ 2Nn&u87 ÐÏ isTyasI97 ÑÏ s]aa8u&88 ÐÐ ;5yasI98 ÑÐ A¹a8u&89 ÐÑ neVyasI99 ÑÑ nVva8u&A hundred and higher figures are as under:100ÉÈÈso, 900ÑÈÈnvso1,000É,ÈÈÈhjar, Aek hjar10,000ÉÈ,ÈÈÈds hjar100,000ÉÈÈ,ÈÈÈla , Aek la

51,000,000É,ÈÈÈ,ÈÈÈds la ÈÈÈ,ÈÈÈds 000,000ÉÈ,ÈÈÈ,ÈÈÈ,ÈÈÈ ds AbjNote: There is no concept of ‘million’ in GujaratiWhile reading a number of more than two digits, no ‘and’ is required as in English. Examples:ÊÎÑbso Ag8ois]aerË,ÎÐÏ{a8 jhar 2so isTyasIÍ,ÉÐ,ÑÈÍpa&c la , A7ar hjar, nvso pa&cHowever, while doing counting the conjunction ne may be used while reading the last two digits.If the penultimate digit is 0 (zero) the ne may be used with the last digit. Examples:ÊÎÑbsone Ag8ois]aerË,ÎÐÏ{a8 jhar 2sone isTyasIÍ,ÉÐ,ÑÈÍpa&c la , A7ar hjar, nvsone pa&cOrdinalsThe ordinals behave like adjectives and agree with the nouns in gender.EnglishOrdinalsMasculineFeminineNeuter

ththFor each of the higher ordinal use mo, mI, mu& as the case may be.FractionsFollowing are the terms for Gujarati fractions:Simple¼pa½A60u&

7¾po8u&PlusExamplesPlus ¼sva1¼sva AekPlus ½sa6a3½sa6a {a8Plus ¾po8u&2¾po8a {a8Notes:(1)The A60u& And po8u& agree with the noun in gender and number. Examples:A60o kagX‘half paper’A60a kagX‘half of the papers’A60I kerI‘half mango’A60I kerIAo‘half of the mangosA60u& keXu&‘half banana’A60a& keXa&‘half of the bananas’(2)For 1 ½ and 2 ½ always use A7I and do7 respectively.

8Vocabulary**Derived with a few modifications from "wCcgi8tnI pir-aqa" 1966. (Terminology of higher mathematics), Publisher:Gujarat University, Ahmedabad, India.

9AalternatelyAekaNtreabsoluteinrpexalternating functionp/its&imt iv0eyabsolute termAclpdalternating seriesp/its&imt [ae7Iabsolute valueinrpex mULyanalysisabsurdAs>p (9kr8,ive¿leq8accuracycoksa:analytical geometryvE¿leiqk -Uimitacute anglel3uko8angle U8oacute angled trianglel3ui{ako8angle at the centerkeN S9 U8oadditonsrvaXo, v]aakarangle at the circumferemcecapS9 ko8adjacent angles&lGn ko8angle of contactSp R U8oadjacent sidess&lGn bajuAoangle of depressionAvse0admissible solutionSvIkayR wkelangle of elevationwTse0admissible valueSvIkayR ik&mtangularko8IyaggregatesmUh, g8angular diagramv ta& Aak italgebrabIjgi8tangular measurementve0algebric expressionbIj rai angular momentumko8Iy vegmanalgebric geometryyam-Uimitangular velocityko8Iy lied mathematicsp/yo@t gi8talternateAekaNtr p/ma8applied statisticsalternaternadop/yo@tAa&k6a aS{a

10approximatelyAa re, lg-ga prioripUvRSvIk t, g hItapseapse linearcareaarealareal co-ordinatearithmetic averageaveragesrera , m)yk,srasrIaxisAxaxiomSvtŠis)0 sTyaxis of co-ordinateAxo, yamaxoaxis of referenceAa0ar Axoaxis of perspective Q5 yxaxis of X Xre a, -Ujaxaxis of Y Yre a, ko4\yxnIcoCc ib&dunIcoCc re acapxe{afXxe{aIyxe{aIy yamsma&tr srera Barithmetic meansma&tr m)ykbackward formulap Q5sU{aarithmetic progressionsma&tr [ae8Ibar-diagramSt&-ak itarithmetic seriessma&tr [ae7IbaseAa0ar, payoarithmetic geometric seriessma&tr gu8o]ar[ae7Ibase of supportAa0arpI5basicAa0ar-Ut,mUX-Utarms (of angle)-Uja, re aascendingc7to k/mbell-shaped diagram3&4ak itassociations&b&0bimodaliµbhulkassociate lawsmUhno inymbinodeiµtl patassumptionSvIk itbinominaliµpdIassymetricalivqm, ivs&imtbipole0/uvyuGmat randomy C2biquadraticiµvgR

11Vyvsay ivqykAa&k6a aS{abusiness statisticsCcantesinalcentralcentral momentscharacteristic (of log)v ]aak itcircular functionv ]aIy iv0eycircular measurev ]aIy mancircular line (at a point)v ]are acircular pointsv ]aib&duAocircular at infinityAn&te v ]aib&duAocircular testck/Iy pirx8circulating decimalsAav ]a d a& circumcenterpirkeN circumferencepiri0, umscribed circlepirv ]acircumscribingpirgtclassvgRclass magnitudevgRmanclassificationvgIRkr8bje4, A&dajp{abudgetcardinalcircular diagramphoXa:breadthcapacityck/Iy inyamko a abranchcanonical variationcircular determinantskO&sbracketcancelvtUXakar, v ]aIypirre abounding , v ]aiµ-ajkbisectorcalculating machinecircleg8trIy&{ag8trIkln gi8tw6a6I devu&iviht clnxmtag8naTmk ta& kkeN IykeiN y p/3atpU8aR&k

ncommoncommon multiplecommon system (of Log)commutative lawA&k, gu8k,shgu8kcone &kuconical point &kupatconical projection &kup/xepconicoids &kujconjugateAnub&0conoid &kva-asconormal pointssmi-l&b s>taconstantAclconstituent34ksmre smre takolm, St&s&cysamaNysamaNy AvyvIsamaNy d a0ark/mno inymcomparision testtulna pirx8complete differentialpU8R ivklcomplete the squarespU8R vgR krvocomponent equations34k smIkr8components34kocompositeim[acomposite hypothesiss&yukt pirkLpnacomposite number-ajy g8kconstruction of index numberscontavarientAa&krcnap/itclcovective equilibriums&vahI s&iS9itconverseWl4u&, ationsmtlIyshs&b&0corollarywpp/mey

13correspondingAnu pcamulantsyog3atcorresponding angleAnuko8cumulatives&cyIco-terminal anglessmsIm U8acurvevk/re a, vk/coupleblyuGm, yuGmcurve fittingvk/ ANvayojncovarianceshivcr8curve surfacevk/tlcovarientshclcurve tracingvk/ale ncross-multiplicationSviStkgu8nityRk gu8ncurve in spacei{aimt vk/curvilinearvk/Iyre avilnu&ityRk p/ma8cuspini tcube3n, sm3ncuspidal locusini t ib&dup9cube root3nmUX, t tIymUlcut2edvu&cubic contravarianti{a3at p/itclcycleck/cubic co-varianti{a3at shclcyclicck/Iycubic curvei{a3atI vk/cycle of quotients (continued fraction)cubic equation3naTmk smIkr8i{a3at smIkr8cycle of substitutionAade ck/cyclic orderck/Iy k/mcross-ration of pencilcubic expressioni{a3at pdavili{a3at smIkr8cubic measure3nfX, 3nmancubic surd3nIkr8cuboidl&b3n-agflonu& ck/cyclic part (continued fraction)cyclic quadrilateralAav ]a &6v ]aIy ctuQko8cylindernXakar

14w6a6I devu&DdampedAvm&idtdamping factorAvm&dn Avyvdash6e dataAa&k6a, maihtIdecagond ko8decimaldemand curvemagvk/denominator2eddenoted aRvvu&derivativeivklnflivkiltd a& derivative of an arccapnu& ivklndecimal fractiond a& ApU8aR&kderived functioningimt iv0eydecilesd a& kdescendingwtrtu&decreasing34tu&descending nodeAvrohI patdeduceingmn krvu&descriptive statisticsdeductioningmnv8RnaTmkAa&k6a iagonal pointsivk8R ib&duAodiagonal triangleivk8R i{ako8diagramAak itdiameterVyasdiametral planekeN tldifference equationA&trsmIkr8definitedefinite integraldefinitiondegreesuini¾tinyt s&klVya yaA& degreema{aadegree of curvevk/no 3ata&kdegree of an expression of an equationdegree of freedompirma8Svat&{yma{aadeletedUr krvu&

15A&trkoQ4kdifference tabledivisor-ajkdomainxe{adoublebm8u&, iµgui8tdouble contactiµSp Rdouble integraliµs&kldouble lineiµkre adouble pointiµib&dudouble rootiµkbIjdouble samplingiµind Rndouble abilityivkldifferentialivklnivd\yadifferential calculusivklngu8differential coefficienivkl smIkr8differential equationcapno ivkldifferential of an arcivklndifferentiationdifferentiation under the integral signs&kl ich\nma& ivklndigitAa&k6odouble tabulationiµiv0 koQ4kdihendral angleiµtlko8doubletvIjyuGmdimensionpirma8doubly infinite (system of curves)distributioniv-ajn, ivtr8equaldistributedivxoi-tequal in all respectiµAn&tbrabr, sr u&,smansvaR&gsm, Aek pdividend-ajyaequalitysaMy, inŠ eq -ajytaequationsmIkr8division-agakarequations involving reciprocals of unknownsdivision transformation-agakr ivi0VyitkraTmk smIkr8

16equations involving reciprocals of centerwTkeN s&Skarequations involving reciprocals of motiongitsmIkr8equations involving reciprocals of threemomentsi{a-ajk smIkr8equations involving reciprocals oftrigonometricali{ako8mItIy smIkr8equiangularsmko8equiangular spiralsmko8avtRequiconjugate diametersmanub)0keN re aequi-crosssmityRk\equidistantsr e smanequivalent equationssmbIjequivalent equationpyaRiyk smIkr8equivalent systemsms&ihterror{au4Iescribed circlebihv testimateAnuman krvu&estimateAag8n krvu&estimateAnUman, Aag8kestimatedAnuimitEuler's exponential valuesAo:lrnu&3ata&kIy mULyevenbekIeven functionsmiv0eyexampleda lo, wdahr8ex-centerbihQkeN expendivStr8 krvu&expansionivStr8expected frequencyApeixt Aav i]aexpected valueApeixt xponential valueexpress3ata&kIy pd aRvvu&expressionpdavil, rai ex-radiousbihr\i{ajyaF

17factorAvyvfocusnai-factorialk/mgui8tfoot of the perpendicularl&bpadfactorial designk/mgui8t rcnafoot of poundalfU4 pawN6lfactorizationAvyv p (9kr8force diagrambX Aale factor reversal testpdivpyaRsprIx8form p, Sv pformulasU{aforward formulaAg/ sU{afour-part formulactu3R4k sU{aforth powerctu3aRtforth proportionalctu9R p/ma8pdforth rootctu9R mUXfractionApU8aR&kiS9r, inyt,ini¾tfractional (adj.)ApU8aR&kfixed lineiS9r re afractional equationApU8aR&kvaXu&smIkr8flat surfacesmtlfrequencyAavtRn s& yaiv0ey flmUX-Utfactor theoremfigurefinitefinite discontinuityfinite seriesfive parts-formulafixedfocal distanceAvyv p/meyAak itpirimt, sIimtpirimt AsatTypirimt [ae8Ip&c34k sU{anai-A&trfocal ellipsenai-j wpvlyfunctionfundamentalfocal hyperbolanai-j Aitvlyfundamental operationmUX-Ut ik/yaAofocal perabolanai-j prvlyfundamental planemUXtlfocal rediusnai-i{ajyaG

18geometric averagegeometric meangeneralsmgu8o]arsrera grouping of dataAa&knu& vgIRkr8maihtInu& vgIRkr8growth ratev i)0drsmgu8o]arVyapkHgenerallysamaNy rIteharmonic (Algebra)hraTmkgeneratesjRvu&harmonic dynamicss&vadI, p/sv& adIgenerating functionsjRk iv0eyharmonic seriesSvirt [ae8IgeneratorsjRkre aharmonic systemSvirt g8,SvrIt VyvS9ageometry-Uimitgeometric meansmgu8o]ar [ae8Igeometric seriessmgu8o]ar [ae7Igradeg/e6graded datak/mb)0 Aa&k6ak/mb)0 maihtIH.C.F. (Higest Common Factor)heightgu.sa.A.(guru]am sa0ar8 Avyv)w&ca:heptagonsPtko8heterogeneousivqma&g, ivqmpirma8hexagonq4\ko8higest termwCc pdhistogramSt&-ale historiogramsamiyk Aale Graco-Latin squareg/IkoÝle4In corsgraphAale graph paperAale np{agraphical staticsAale IyiS9itiv}aanhedographvegale great circleguruv ]ahomogeneoussma&gsmpirma8homographvk/tale G.C.M (greatest Common Measure)gu.sa.A (guru]am sa0ar8 Avyv)group indicessmUh Aa&k

19homographicsmÝityRkimaginary partkaLpink A& homotheticsm p roperAnuictimproper fractionAnuict ApU8aR&kimproper integralAnuict s&klincenterA&tŠkeN inclinationnitko8ivtr8inclined planenttlhypergeometric seriesAitgu8o]ar [ae7Iincluded angleA&tgRt ko8A&tgRt ilityAs&meytaincompleteApU8Rsm pta keN homothetic centersmixitjhorizontalsmixitj re ahorizontal linexEitj l&bnhorizontal parallaxsmixitj tlhorizontal planesmixitj A&trhorizontal rangehypergeometric distribution Aitgu8o]arpirkiLpthypotheticalkiLpta9R, pxahypothesisIideal index numberAad R A&kinconsistent aroincrementary rationwpcy p/ma8in defect 8indefiniteAini¾t,AinytAinyt s&klnidentityimaginarily homotheticimaginaryinTysmtakLPnaiS9t sm pkaLpinkindefinite integral

20independentindeterminationindexindex numberindicatrixindirectindirect correlationindirect inquiryindirect diagramingressp/ve intialAad\yinitial lineAad\yre ain perspectivesm Q4iradiusA&tŠiS{ajyinscribed circleA&tv tinsertioninve nintegerpU8aR&kintegrals&kilt, s&klinrpexAini¾tta3ata&k3ata&k n&brvk/indeR proxVySt shs&b&0prox tpasindeR k Aale integral as the limit of a sum [ae7Ina lx pes&klninductive inferenceAagimk Anumaninduction methodAagmnp)0itintegral calculuss&klnivd\yainequalityAsmIkr8integral curves&kilt vk/inferenceAnumanintegral expressionpU8aR&k pdavilinferior conjunctioninferior numberAa&tryuitnIc s& yaintegral partintegral solutionpU8aR& pU8aR&k bIjinfiniteAn&tintegrands&kLyinfinitesimal UNyai-clintegrates&kln krvu&infinitely greatAn&tintegrating factorinfinitely tyintegration, approximateS9UX s&kln

21integration in series[ae7I p s&klninverse (circle)p/tIpinterior angleA&tŠko8inverse circular functionv ]aIy p/itiv0eyinterior opposite angleA&tŠs&mu ko8inverse curvesp/tIp vk/ointerminable divisionAn&t -agakrinverse functionp/itiv0eyin terms of archcapIy,cayp/clIainverse hyperbolic functions AitvlyIinternalA&tirtinverse line. etc.p/i{ajya vgereinternal bisectorA&tiµR-ajkinverse operationsWl4I ik/yaAoinverseivprItinverse operatorp/itkarkinverse interpolationivpirt A&tveR ninverse orderWl4o k/minverse pointp/tIp ib&duinverse probabilityivprIt s&-avnainverse proportionVySt p/ma8interpolation with equal intervalsp/itiv0eysma&tr A&tveR ninterpolation with unequal intervalsinterpretationAsma&tr A&tveR nA9R34ninterquartile rangectu9Rk A&trinverse rationVySt gu8o]arintersect2edvu&inverse variationVySt clnintersect prthogonallyl&b2ed 9vol&b2ed krvoinversely similarp/itÝsm pvgaR&t shs&b&0inversionp/tIpninterclass investigationANve nainvariableinvestigatorANveqkinverseVySt, WL4u&

22involutep/itkeN jlaw of Indices3ata&kno inyminvolution3atik/yalaw of larage numbersmhas& yaAonoinyminvolutionsmuTk/m8law of Statistical regularityAa&k6aAonIinyimttaAonois)0a&tinvolution pencilsmuTk/m8 re avilinvolution rangesmuTk/m8ib&dup&iktleading termAg/pdirrationalAs&meyleading constituentAg/34kisogonalsmntleading diagonalAg/ivk8Risolated pointAeka&kI ib&duleastl3u]amisoperimetricsmpirimitkleast squareNyuntm vgRisosceles tetrahedroniµsm ctuQflkleft handvamisosceles triangleiµsm i{ako8left hand side6abI baju,pUvRpxlemmapUvRp/meylemniscateiµpa nt frequency distributionsjoint probabilitys&yuky Aav i]a ivtr8s&yukt s&-avnas&yukt clnjoint variationKp/karkindLLatin squarele4In corslevel of significancesa9RktanI kxalatus-rectumnai-l&blike (terms)sjatIylaw of inverse squareVySt vgRno inymlikelyhood functionivs&-avna iv0ey

23likelyhod ration testlike parallel forceslike (signs)limitlimitedlimitingivs&-avnagu8o]ar prIx8sjatIy sma&trbXoliteral ithmic seriesl3ug8kIy [ae8IlogicaltkRs>lower quartilep/9m ctu9Rksmich\nlxsImItsImaNtMgurucaplimiting pointslxib&dumajor arclimiting valuelxmanifold classificationbhuiv0 vgIRkr8limitlessinŠsImmanifold tabulationbhuiv0koQ4krcnalinere amantissaA& kmarginalsImavtIRmathematical analysisgi8tIy iv¿leq8mathematical inducationgi8tIy Anumanmatrix[aei8kmaximumAi0ktmmaximum likelihoodAi0ktms&-avnameansrera , m)yk,m)ymmean anomalym)ym ko8line at infinitylinearline integralline of centersline of curvatureline of forceline of greatest slopeAn&t re are Iy, sure re as&klkeN re avk/tare ablre amh]am 7aXnIre aline of regressioninyt s&b&0 re aliteral equationv8R smIkr8

24mean derivationsrera ivclnminimum valueNyUntm mULymean parallaxm)yman S9an-edminorwpin¾aykmean proportionalm)ym p/ma8pdminor arcl3ucapmean valuem)ykmanminusbad, Ao2a, 8mean theoramm)ykmannu& p/meymixed fractionim[a ApU8aR&kmeasuremap, manmonotonicAeksU{aImeasure of associations&b&0manmultinominalbhupdImeasurement of anglesko8mapnko8mapmultinominal distributionbhupdI ivtr8multinominal expressionbhupdI pdavilmultiplegui8tmultiple anglesgui8t U8aAomultiple correlationbhuclIyshs&b&0medial sectionm)ymey 2edmedianm)ygamethod of detached coefficientmetod of differencesp 9k gu8a&konIrItA&trivi0method of divisors-ajkivi0multiple integralbhus&klmethod of expansionivStr8ivi0multiple pointbhul ib&dumethod of substitutionAade nI rItmultiple regressionbhuclIy inyts&b&0multiple rootbhugui8t bIjmultiplicandgu*ymethod of undermined multipliersmiddle termAini8Rt akarminimumNyUntmmultiplication rulegu8akarno inym

25multipliergu8knorm of anglesko8ad Rmultivariatebhuclnorm of sides-ujad Rmultiple analysisbhucl p (9kr8notationmultivariate distributionbhucl ivtr8p/tIkVyvS9a,s&ketnprSpr, parSpirknucleusnai-mutualnull hypothesisinrakr8IypikLpnanull line UNy -/amk re anull plane UNy -/amk tlnull pointnull sequence UNy -/amk ib&du UNy [ae8Inumbers& yanumber scales& yale numeratorA& Nnadirp/itm)ynatural logarithmp/ak itk l3ug8ksamaNy l3ug8knatural numbernegativesamaNy s& ya 8, 8aTmk,Ao2anegative association 8aTmk s&b&0negative correlation 8aTmkshs&b0normalp/ma*y, samaNynumericals& yaTmknormal curvep/ma*y ivtr8numerical coefficientA&kgu8knormal distributionp/ma*y ivtr8numerical factorA&kavyvnormal equationsp/ma*y smIkr8onumericallysadI s& yanI rItenormal planeAivl&b tlnormal regressionp/ma*y inyts&b&0normal sectionl&b2edOoblique{aa&sI, ityRkobserved frequencyAvlokn Aav i]aobserverAvloknkar

26obtuse angleobtuse angled triangleoctagonoctahedronoddorder of figurate numberss p s& ya [ae8Iorder of powers3atk/morder of surdskr8I3atordinalk/maTmkordinal numbersk/maTmk s& yaAoguruko8gurui{ako8AQ4ko8AQ4flkAekI s& ya, Asmordinary (differential equations)odd functionsogive curveordinatesamaNykoi4originortho-centerWgmib&du, Wgml&bkeN orthocentric tetrahedronl&bctuQflkAsm iv0eys&ymI Aav i]a vk/open (curve)l&bC2edkta,l&b]v.ivv ]aopen (interval)ivv ]aorthogonall&b2edIoperational factorik/yasUck Avyvorthogonal involutionl&bko8IysmuTk/m8operatorkarkorthogonal pencill&bko8Iyre avlIorthogonalityoppositeWl4u&opposite angles&mu ko8orthogonal polynomiall&b2edI bhupdIopposite edgess&mu 0arorthogonal projectionl&bp/xepopposite sidessamsamI bajuAo,s&m u bajuAoorthogonal trajectoryl&b2edI vk/orthogonal transformationl&b2edI pirvtRnoppositionp/ityuitorderk/morder of differentials equationskxa, k/mPpairjo6, yuGmpair of straight linere ayuGm

27partisanivyojnpartial associationAa&i k s&b&0partisan of numberspU8aR&konu& ivyojnpartial correlationAa&i k shs&b&0parent populationmUX smiQ4partial differential equiation Aa&i k ivklsmIkr8parabolaprvlyparabolicprvlyIparabolic pointprvlyib&duparabloidprvlyjparallactic anglel&bnko8parallactic ellipsel&bn wpvlyparallaxparallelparallel curvesparallelopipedparallelogrampartial differentiationAekclIy ivklnAa&i k ivklnpartial fractionApU8aR&k &6,Aa&i k &6partial productpartial regressioniv-agIy gu8akarAa&i k inyts&b&0particularivi Q4par

definite integral inyt s&kl definition Vya ya degree A& degree ma{aa degree of curve vk/no 3ata&k degree of an expression of an equation pirma8 degree of freedom Svat&{yma{aa delete dUr krvu& w6a6I devu& demand curve magvk/ denominator 2ed denote d

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